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Sierpinski triangle script for plot.ly, based on their Lindenmayer System demo
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# Python 2.7.3 (default, Apr 20 2012, 23:04:22) [GCC 4.6.3] | |
# Use plot() to plot lists or arrays | |
# Use print to show results in the command line history | |
from numpy import sin, cos, pi | |
def f(s,itr): | |
xo=0 | |
yo=0 | |
a=0 | |
b=pi/3 | |
d=10 | |
for i in xrange(itr): | |
ns='' | |
for mv in s: | |
if mv=='A': | |
ns+='B-A-B' | |
elif mv=='B': | |
ns+='A+B+A' | |
else: | |
ns+=mv | |
s=ns | |
print s | |
s=list(s) | |
print len(s) | |
mvs=[] | |
xa=[] | |
ya=[] | |
for mv in s: | |
if mv=='A' or mv=='B': | |
x=xo+d*cos(a) | |
y=yo+d*sin(a) | |
xa.append(x) | |
ya.append(y) | |
xo=x | |
yo=y | |
elif mv=='+': a+=b | |
elif mv=='-': a-=b | |
elif mv=='[' and len(mvs)!=0: | |
x,y=mvs.pop() | |
xo=x | |
yo=y | |
elif mv==']': | |
mvs.append((xo,yo)) | |
plot(xa,ya,{'color':'black'}) | |
#s='F[-F]F[+F][F]' | |
s='A' | |
f(s,10) |
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